Respuesta :

Answer:

72°.

Consecutive interior angle

Step-by-step explanation:

The complete question is shown below

The consecutive interior angle theorem states that if two parallel lines are cut by a transversal line, the pair of interior angles formed are supplementary (that is they sum up to 180°).

Hence since the two trees are parallel and the rope forms a transversal hence they form an interior angle:

m∠2 + 72° = 180° (consecutive interior angles)

Add -72 to both sides and then simplify:

m∠2 + 72 -72 = 180 - 72

m∠2 = 108°

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